Popular passages

Page 192 - Two travellers, A and B, set out to meet each other, A leaving the town C at the same time that B left D. They travelled the direct road between C and D ; and on meeting, it appeared that A had travelled 18 miles more than B, and that A could have gone B's distance in 15J days, but B would have been 28 days in going A's distance.

Page 15 - A company of 90 persons consists of men, women, and children. The men are 4 in number more than the women, the children 10 more than the adults. How many men, women, and children, are there in the company ? f 22 men, .•In*.

Page 247 - There is a number consisting of two digits, which being multiplied by the digit on the left hand, the product is 46; but if the sum. of the digits be multiplied by the same digit, the product is only 10. Required the number. Ans. 23.

Page 196 - A charitable person distributed a certain sum amongst some poor men and women, the number of whom were in the proportion of 4 to 5. ' Each man received one third as many shillings as there were persons relieved ; and each woman received twice as many shillings as there were women more than men. The men received all together 18s.

Page 206 - This result indicates, that there is some absurdity in the conditions of the question proposed, since in order to obtain the value of x, we must extract the root of a negative quantity, which is impossible. In order to see in what this absurdity consists, let us examine into what two parts a given number should be divided, in order that the product of these parts may be the greatest possible. Let us represent the given number by p, the product of the two parts by q, and the difference of the two...